Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 3495, 3450 i.e. 15 the largest integer that leaves a remainder zero for all numbers.
HCF of 3495, 3450 is 15 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 3495, 3450 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 3495, 3450 is 15.
HCF(3495, 3450) = 15
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3495, 3450 is 15.
Step 1: Since 3495 > 3450, we apply the division lemma to 3495 and 3450, to get
3495 = 3450 x 1 + 45
Step 2: Since the reminder 3450 ≠ 0, we apply division lemma to 45 and 3450, to get
3450 = 45 x 76 + 30
Step 3: We consider the new divisor 45 and the new remainder 30, and apply the division lemma to get
45 = 30 x 1 + 15
We consider the new divisor 30 and the new remainder 15, and apply the division lemma to get
30 = 15 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 3495 and 3450 is 15
Notice that 15 = HCF(30,15) = HCF(45,30) = HCF(3450,45) = HCF(3495,3450) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 3495, 3450?
Answer: HCF of 3495, 3450 is 15 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3495, 3450 using Euclid's Algorithm?
Answer: For arbitrary numbers 3495, 3450 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.